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Simplifying (4k + 159) + (2k + 153) = 360 Reorder the terms: (159 + 4k) + (2k + 153) = 360 Remove parenthesis around (159 + 4k) 159 + 4k + (2k + 153) = 360 Reorder the terms: 159 + 4k + (153 + 2k) = 360 Remove parenthesis around (153 + 2k) 159 + 4k + 153 + 2k = 360 Reorder the terms: 159 + 153 + 4k + 2k = 360 Combine like terms: 159 + 153 = 312 312 + 4k + 2k = 360 Combine like terms: 4k + 2k = 6k 312 + 6k = 360 Solving 312 + 6k = 360 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-312' to each side of the equation. 312 + -312 + 6k = 360 + -312 Combine like terms: 312 + -312 = 0 0 + 6k = 360 + -312 6k = 360 + -312 Combine like terms: 360 + -312 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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